Question

in a fabric wear house there was 43.5 meter of cloth.if it is cut into two equal pieces of 1.5 meter then how many pieces of cloth will obtained?what will be the total length of 12 pieces of cloth of length 1.5 meters

Answer 1

Answer:

10m

Step-by-step explanation:

⇒  Let the length of the piece be xm

⇒  Cost price of cloth =Rs.35

⇒  Cost price of 1m cloth =Rs.x35

According to the question,

⇒  (x+4)(x35−1)=35

⇒  35−x+x140−4=35

⇒  35x−x2+140−4x=35x

⇒  x2+4x−140=0

⇒  x2+14x−10x−140=0

⇒  x(x+14)−10(x+14)=0

⇒  (x+14)(x−10)=0

⇒  x+14=0 and x−10=0

∴  x=−14 and x=10

Length cannot be negative.

∴  The length of the piece is 10m.

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